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Finding the Third Proportional to 25,569 and 55,923

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Solution

The third proportional to 25,569 and 55,923 is: 122,311.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,569 : 55,923 = 55,923 : x
  2. Step 2: Convert to fraction form
    25,569/55,923 = 55,923/x
  3. Step 3: Cross multiply
    25,569x = 55,923 × 55,923
  4. Step 4: Simplify right side
    25,569x = 3,127,381,929
  5. Step 5: Solve for x
    x = 3,127,381,929/25,569
  6. Step 6: Final answer
    x = 122,311.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.